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Simplifying -6x + -1(-3x + 7) = (x + -3) + -4(3x + -5) Reorder the terms: -6x + -1(7 + -3x) = (x + -3) + -4(3x + -5) -6x + (7 * -1 + -3x * -1) = (x + -3) + -4(3x + -5) -6x + (-7 + 3x) = (x + -3) + -4(3x + -5) Reorder the terms: -7 + -6x + 3x = (x + -3) + -4(3x + -5) Combine like terms: -6x + 3x = -3x -7 + -3x = (x + -3) + -4(3x + -5) Reorder the terms: -7 + -3x = (-3 + x) + -4(3x + -5) Remove parenthesis around (-3 + x) -7 + -3x = -3 + x + -4(3x + -5) Reorder the terms: -7 + -3x = -3 + x + -4(-5 + 3x) -7 + -3x = -3 + x + (-5 * -4 + 3x * -4) -7 + -3x = -3 + x + (20 + -12x) Reorder the terms: -7 + -3x = -3 + 20 + x + -12x Combine like terms: -3 + 20 = 17 -7 + -3x = 17 + x + -12x Combine like terms: x + -12x = -11x -7 + -3x = 17 + -11x Solving -7 + -3x = 17 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. -7 + -3x + 11x = 17 + -11x + 11x Combine like terms: -3x + 11x = 8x -7 + 8x = 17 + -11x + 11x Combine like terms: -11x + 11x = 0 -7 + 8x = 17 + 0 -7 + 8x = 17 Add '7' to each side of the equation. -7 + 7 + 8x = 17 + 7 Combine like terms: -7 + 7 = 0 0 + 8x = 17 + 7 8x = 17 + 7 Combine like terms: 17 + 7 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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